{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Line Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perhaps the simplest of all plots is the visualization of a single function $y = f(x)$.\n",
    "Here we will take a first look at creating a simple plot of this type.\n",
    "As in all the following chapters, we'll start by setting up the notebook for plotting and  importing the packages we will use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For all Matplotlib plots, we start by creating a figure and axes.\n",
    "In their simplest form, this can be done as follows (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In Matplotlib, the *figure* (an instance of the class `plt.Figure`) can be thought of as a single container that contains all the objects representing axes, graphics, text, and labels.\n",
    "The *axes* (an instance of the class `plt.Axes`) is what we see above: a bounding box with ticks, grids, and labels, which will eventually contain the plot elements that make up our visualization.\n",
    "Throughout this part of the book, I'll commonly use the variable name `fig` to refer to a figure instance and `ax` to refer to an axes instance or group of axes instances.\n",
    "\n",
    "Once we have created an axes, we can use the `ax.plot` method to plot some data. Let's start with a simple sinusoid, as shown in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.linspace(0, 10, 1000)\n",
    "ax.plot(x, np.sin(x));"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the semicolon at the end of the last line is intentional: it suppresses the textual representation of the plot from the output.\n",
    "\n",
    "Alternatively, we can use the PyLab interface and let the figure and axes be created for us in the background\n",
    "(see [Two Interfaces for the Price of One](04.00-Introduction-To-Matplotlib.ipynb#Two-Interfaces-for-the-Price-of-One) for a discussion of these two interfaces); as the following figure shows, the result is the same:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to create a single figure with multiple lines (see the following figure), we can simply call the `plot` function multiple times:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "plt.plot(x, np.cos(x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's all there is to plotting simple functions in Matplotlib!\n",
    "We'll now dive into some more details about how to control the appearance of the axes and lines."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjusting the Plot: Line Colors and Styles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first adjustment you might wish to make to a plot is to control the line colors and styles.\n",
    "The `plt.plot` function takes additional arguments that can be used to specify these.\n",
    "To adjust the color, you can use the `color` keyword, which accepts a string argument representing virtually any imaginable color.\n",
    "The color can be specified in a variety of ways; see the following figure for the output of the following examples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x - 0), color='blue')        # specify color by name\n",
    "plt.plot(x, np.sin(x - 1), color='g')           # short color code (rgbcmyk)\n",
    "plt.plot(x, np.sin(x - 2), color='0.75')        # grayscale between 0 and 1\n",
    "plt.plot(x, np.sin(x - 3), color='#FFDD44')     # hex code (RRGGBB, 00 to FF)\n",
    "plt.plot(x, np.sin(x - 4), color=(1.0,0.2,0.3)) # RGB tuple, values 0 to 1\n",
    "plt.plot(x, np.sin(x - 5), color='chartreuse'); # HTML color names supported"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If no color is specified, Matplotlib will automatically cycle through a set of default colors for multiple lines.\n",
    "\n",
    "Similarly, the line style can be adjusted using the `linestyle` keyword (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, x + 0, linestyle='solid')\n",
    "plt.plot(x, x + 1, linestyle='dashed')\n",
    "plt.plot(x, x + 2, linestyle='dashdot')\n",
    "plt.plot(x, x + 3, linestyle='dotted');\n",
    "\n",
    "# For short, you can use the following codes:\n",
    "plt.plot(x, x + 4, linestyle='-')  # solid\n",
    "plt.plot(x, x + 5, linestyle='--') # dashed\n",
    "plt.plot(x, x + 6, linestyle='-.') # dashdot\n",
    "plt.plot(x, x + 7, linestyle=':');  # dotted"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Though it may be less clear to someone reading your code, you can save some keystrokes by combining these `linestyle` and `color` codes into a single non-keyword argument to the `plt.plot` function; the following figure shows the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, x + 0, '-g')   # solid green\n",
    "plt.plot(x, x + 1, '--c')  # dashed cyan\n",
    "plt.plot(x, x + 2, '-.k')  # dashdot black\n",
    "plt.plot(x, x + 3, ':r');  # dotted red"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These single-character color codes reflect the standard abbreviations in the RGB (Red/Green/Blue) and CMYK (Cyan/Magenta/Yellow/blacK) color systems, commonly used for digital color graphics.\n",
    "\n",
    "There are many other keyword arguments that can be used to fine-tune the appearance of the plot; for details, read through the docstring of the `plt.plot` function using IPython's help tools (see [Help and Documentation in IPython](01.01-Help-And-Documentation.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjusting the Plot: Axes Limits\n",
    "\n",
    "Matplotlib does a decent job of choosing default axes limits for your plot, but sometimes it's nice to have finer control.\n",
    "The most basic way to adjust the limits is to use the `plt.xlim` and `plt.ylim` functions (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "\n",
    "plt.xlim(-1, 11)\n",
    "plt.ylim(-1.5, 1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If for some reason you'd like either axis to be displayed in reverse, you can simply reverse the order of the arguments (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD0CAYAAABgk2Y8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAxy0lEQVR4nO3dd0CT59o/8G8GCZAEkC17KIoDmW5c1Tpaq1WQ0WKHdvd0+Wt72nNqz+npqW3P+/bt9LSnw1q0iqK22mkd1boxLFFQNgSQPQMhIcnvD6rW44KQ5E6eXJ+/hIQ8F08fvn3Gdd83T6/X60EIIYRT+KwLIIQQYnwU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkFCVhuWy+WsNk0IIVYtJibmlu9hFu7AwAq0BYWFhQgPD2ddhkWgfXEF7YsraF9cMdATY7otQwghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHEThTgghHDSkcP/ll1+wZs2a6762bds2LFu2DCtWrMDBgweHshlCCCGDZPCUv6+//jqOHDly3Wk4GxsbkZ6ejh07dqC3txepqamYNm0aRCLRkIolhBAyMAaHe3R0NObOnYuMjIxrXsvPz0dUVBREIhFEIhECAgJQVFSEiIiIIRVLCEsVTUocLm5E0cVOKFp7oO7Twt5OgOHODhjv64ypoW4IcpewLpMQAAMI9+3bt2Pjxo1Xfe+NN97AokWLcPLkyev+TFdXF2Qy2eWvJRIJurq6rnlfYWHhYOvlJJVKRfvid5a2L9RaPQ6UdmJPUQfKWtUAAJmYD2+pHcQCHpr6dJBXNGPLqSoAwCh3Me4Y5YQ5IVII+LwhbdvS9gVLtC8G75bhnpiYiMTExEF9qFQqhVKpvPy1Uqm8KuwvoZVV+tEqM1dYyr7Q6/X4seAi1v1YiOqWHoz2luHVxSNw22gvBLg5XvPe8iYlDhQ1YNvparxztBG7znfjr3eE47ZwL4NrsJR9YQloX1wx0JWYTLLMXkREBN5991309vZCrVajtLQUYWFhptgUIUbX1q3GX3YV4PszdRjtLcPGBydixkh38HjXPxPn8XgI8ZAixEOKVdODsa+wAW//VIRVG09jWZQvXl08Fs6Odmb+LYitM2q4b9iwAQEBAbjtttuQlpaG1NRU6PV6PPvssxCLxcbcFCEmUVDTjoe+Oo3Gzl68sGAUHpkROqjbKzweD/PGeGFmmAc+PFiC9QdLIK9qxWcrYzHS69qrV0JMhafX6/UsNiyXy2mB7N/RJecVLPfFvnP1eGprDlwc7PBJWizG+zkP+TPlla14JF0OlUaLj+6JxswwjwH/LB0XV9C+uGKg2UmDmAgBsDuvFg+nn8YITym+eWKaUYIdAGICh2H3k9MQ4OqIhzaexr5z9Ub5XEJuhcKd2Lw9ebV4ZmsOYoNcsfXhyfB0sjfq5/u4OGDLQ5MR7uOERzfJsffsRaN+PiHXQ+FObNqhC414JiMXsYGu2HB/HBxFJukxgLOjHTatmojxfs54cksOsipaTLIdQi6hcCc2q7CuA09szkaYlwxfPBAHidg0wX6JzN4OX9wXBz8XB6zeeBolDZ0m3R6xbRTuxCY1dfVi1ZdZkIgF+OL+WEhNHOyXDJOIsPHBibAT8PHQV3J0qDRm2S6xPRTuxOZodXo8szUXTUo1Pr8vDsOdHcy6fX9XR6y/JxpVLd1Ysy0POh2ThjXCcRTuxOZ8cKAYR0qa8NpdYzHO1zhdMYM1MdgVLy8Kxy/n6vHvQ6VMaiDcRuFObMqxkia8t78Yy6J9kRTnz7SWB6cF4c6I4XjnlwvIrW5jWgvhHgp3YjM6VBqs2Z6HYHcJXl867obTCZgLj8fDG8vGw0smxnMZuehRa5nWQ7iFwp3YjH/sOYf6DhX+N3GCyVoeB8vJ3g7/kzgBZU1KrPuRZj0kxkPhTmzC/sJ6bJcr8OjMUEQFDGNdzlWmjnDHqunB+Op4JY6WNLEuh3AEhTvhvK7ePvxlVwFGecnw9NyRrMu5rufnj0KgmyP++k0BVBq6PUOGjsKdcN57+y7gYocK65aPh1goYF3OddnbCfD60nEob1LiY+qeIUZA4U44rehiB744WoGUif6ItrDbMf8tfqQH7prgg/UHS1HWeO3KZYQMBoU74Sy9Xo9XvimAk70QL8wfzbqcAfnrneEQ2/HxyrcFYDQbN+EICnfCWbtyapBV0YqXFoZjmETEupwB8ZTZ4/n5o3C0pBknqrtZl0OsGIU74aQetRZv/3QeE/yckRDjx7qcQUmdGIARnlJ8Lm+Buk/HuhxipSjcCSd9cbQcFztU+MsdY8AfxDJ5lkAo4OMvi8JR06HB5pOVrMshVorCnXBOU1cv/v1rKW4f44WJwa6syzHIrFEeiBrugHf3FaOtW826HGKFKNwJ57y3rxg9Gi1eXGgdD1Gvh8fj4aFYV3SoNPjwQAnrcogVonAnnFLepMTXp6pwz6QAhHpIWZczJMGuYiyP9kP6iUrUd6hYl0OsDIU74ZT39xfDTsDDn+ZY5kjUwXr6tpHQ6vT46CCdvZPBoXAnnFHS0IVvc2tw35QgeMjErMsxCn9XR6yI88eWU1VQtFJrJBk4CnfCGe/vL4a9nQAPzwhhXYpRPTl7BHjg4YP9dPZOBo7CnXDChfpO7MmvxX1Tg+Am5cZZ+yU+Lg5InRSAzGwFKpqUrMshVoLCnXDCe/uL4WgnwMPx3Dprv+Tx2aGwE/Dw/oFi1qUQK0HhTqzehfpOfJ9fhwemBVvNNAOD5SmzR+rEQOzOraV772RAKNyJ1fv4UCkc7ARYNT2YdSkmtTo+GDwe8OnhMtalECtA4U6sWk1bD3bn1iJlYgBnz9ov8XFxwNJIX2zNqkZTVy/rcoiFo3AnVu2z3/rPYlfHc/us/ZJHZ4VCrdVhw9Fy1qUQC0fhTqxWi1KNraeqsSTSFz4uDqzLMYtQDykWjPXGV8cr0anSsC6HWDAKd2K1Nh6rQI9Gi0dncrND5kYenzUCnao+bDpRxboUYsEo3IlV6lb3YePxCswN98RILxnrcsxqvJ8z4ke64/Mj5ejto8W0yfVRuBOrlJFVjbZuDR6bFcq6FCYenhGCpq5e7MmrY10KsVAU7sTqaHV6bDhagegAF8QEWud87UM1fYQ7wryk+PxIOa21Sq6LabhrdXRQksE7UNSAqpZuPMjxvvab4fF4eHBaMArrOnCirIV1OcQCMQ33PXm1LDdPrNSGo+UY7myP+WO9WZfC1NIoXwxztMMX1BZJrkNoyA+pVCo8//zzaG5uhkQiwVtvvQVX16svjx977DG0trbCzs4OYrEYn3322TWf88XRciyJ9AGPZ11rXBJ2ii524FhpM15YMAp2Atu+q2hvJ8A9kwLx0a8lqGhSIshdwrokYkEM+uvYsmULwsLC8PXXX2Pp0qVYv379Ne+prKzEli1bkJ6eft1gB4B8RTuyq1oNKYHYqC+PVsDejo+UuADWpViEtCmBEPJ5+PJYBetSiIUxKNzlcjni4+MBADNmzMDx48ever2pqQkdHR149NFHkZKSgoMHD173c2RiIb46Tqu7k4FpUaqxK6cGd0f5cX6qgYHycrLHnRE+2H66Gh00qIn8wS1vy2zfvh0bN2686ntubm6Qyfp7iyUSCTo7O696XaPR4MEHH8TKlSvR3t6OlJQUREREwM3N7ar3zQlxxPf5tUgKE2KYg0F3iDhBpVKhsLCQdRkW4Wb7Ymt+K3r7dJjprbOJ/TXQ42K2L7ArR4sPvjuNZWNdTF8YA/Q3Mni3TNTExEQkJiZe9b0nn3wSSmX/ogFKpRJOTk5Xve7u7o7k5GQIhUK4ubkhPDwc5eXl14T7U4ui8G3hIWS32ePJaG6seWmIwsJChIeHsy7DItxoX2i0Ovy86yCmj3DHgqkTGFRmfgM9LsIBpBd0Y2+5Ci8tGw0+n3vPsOhv5Aq5XD6g9xl0WyY6OhqHDh0CABw+fBgxMTFXvX7s2DE8/fTTAPrDv7i4GCEh1w4RD/WQYvoId2w+WYU+rc6QUoiN2Hu2Hhc7VHhgWhDrUizSvZMDUdncjd9KmliXQiyEQeGekpKC4uJipKSkICMjA08++SQA4O2330Z+fj5mzpyJoKAgrFixAqtWrcJzzz13TTfNJWlTAlHXrsK+wgbDfwvCeZtPVsLXxQGzRnmyLsUiLRjnDTeJCJtO0DMs0s+gG90ODg54//33r/n+Cy+8cPnff/nLXwb0WbeN9oSPsz3ST1RgwTjb7lsm11fa2IVjpc14fv4oCDh4y8EYxEIBVsT545NDpaht67GZWTLJjTFvFBYK+LhnciCOljSjpKGLdTnEAn19sgpCPg8rYv1Zl2LRUicGQA9g6ymaLZJYQLgDQFKcP0QCPl1SkmuoNFpkyhWYP84bHjIx63Ismr+rI2aP8sSWrGpo6BmWzbOIcHeXirFovDd2yBVQ9vaxLodYkO/y69Deo8G9kwJZl2IV7p0cgMbOXuw9W8+6FMKYRYQ7AKRNCUJnbx9203wz5A82nahEqIcEk0Nsc/bHwZoZ5glfFwe6CiaWE+7RAS4I85Jia1Y161KIhSioaUdudRvumRRI8w8NkIDPQ+qkABwvo2dYts5iwp3H4yE5LgB51W0orOtgXQ6xAJtPVsHejo/l0X6sS7EqSXH+sBPwsPkknb3bMosJdwBYFu0LkZBPT/sJOlUafJtbg8URPnB2tGNdjlVxl4px+1hv7MqpoWX4bJhFhbuLowgLfj8oVRo6KG3Z7rxadKu1SJ1Esz8aIjHGD23dGhwsosGBtsqiwh0Akif6o0PVhx/O0NqQtmxbVjVGeckQ6e/CuhSrFD/SA15OYmw/rWBdCmHE4sJ9Sogbgtwc6cGqDSus60Ceoh1Jcf70INVAAj4Py6L98OuFRjR0qliXQxiwuHDn8XhIigvAqfIWlDbS035blJFVDZGAj7ujfFmXYtUSYvyg1enxTU4N61IIAxYX7kD/QSnk85BBZ+82R63V4ZvcGswb60ULcgxRqIcU0QEuyJQroNfTYvS2xiLD3UMmxtxwL+yQK6Duo2HUtuRYVTfaujVIjqN5ZIwhIcYfF+q7kK9oZ10KMTOLDHcASJroj2alGr+co2HUtmRvcSd8XRwwLdSddSmccOeE4RAL+ciU04NVW2Ox4T5jpAd8XRywNYt63m1FdUs3cup6kBjrx8nVhFhwsrfDgnHe+DaX2ottjcWGu4DPQ2KsH46UNKG6pZt1OcQMtssV4AFIpKl9jSoxpr+9eF8hXQXbEosNd+DKH/mObLqk5DqtTo/tp6sR7eMAX1powqimhLrBx9meet5tjEWH+6V7rzuyFdDp6Gk/l/1W3Ii6dhXmj5SxLoVzBHwelsf44bfiRlxsp553W2HR4Q70t0VWt/TgVEUL61KICW07XQ1XiQiT/CWsS+Gk5dF+0OmBnTl09m4rLD7c54/1hlQspKf9HNb6e1fU0khfiAT0INUUgtwliAsaRj3vNsTiw91BJMCdEcPxw5k6WqWJo3bn1UKj1SMxlqb2NaXEGH+UNSqRXdXGuhRiBhYf7kD/rZlutRY/FlxkXQoxgUy5AmN9nBA+3Il1KZy2KGI4HOwEdBVsI6wi3GMChyHIzRGZcpqOgGvOX+zEmZp2WpDDDKRiIRaO98Z3ebXU824DrCLceTweEmL8cKKshXreOWZHtgJCPg9LIn1Yl2ITEmL80Nnbh5/P0lUw11lFuAPA3dF+4PGo551L+rQ67MyuwZzRnnCTilmXYxMmB7vBb5gD3ZqxAVYT7tTzzj2/FTehqasXy2Poloy58Pk8LI/uH/ld09bDuhxiQlYT7gD1vHNNplwBV4kIs0d5si7FpiTE+EGvB3bRVTCnWVW4U887d7R19/e2L4n0gUhoVYeh1fN3dcTkEFfqeec4q/qrop537tiTXwe1VkddMowkxPijorkbpytbWZdCTMSqwh2gnneuyJQrMNpbhrE+1NvOwqLx3pCIBNh+mtqLucrqwp163q1fSUMn8qrbkBDjRwtgM+IoEmLR+OH4Pr8O3Wq6CuYiqwt36nm3fpnyGgj4PCyJpAWwWUqM9YdSrcWPZ+gqmIusLtwB6nm3ZlqdHrtyFJg9ygMeMuptZykuaBgC3RypQYGjrDLcqefdeh0paUJ9Ry89SLUAPB4PCdF+OF7WTFfBHGSV4Q4Ay2N8qefdCmXKFXBxtMOccOpttwTLYugqmKusNtyp5936tPdosPfsRSyZ4AOxUMC6HIL+q+CpoW7IlNNVMNdYbbg7ioS4Yzz1vFuT7/Pr0Nuno+kGLExijD8UrT04WU5XwVxicLjrdDqsXbsWSUlJSEtLQ2Vl5VWvb9u2DcuWLcOKFStw8ODBIRd6PQmx1PNuTXZkKxDmJcV4X2fWpZA/mD/WGzK6CuYcg8N93759UKvVyMjIwJo1a/Dmm29efq2xsRHp6enYunUrPv/8c7zzzjtQq9VGKfiPYgP7n/bvoIPS4pU1dkFe2Yrl0dTbbmkcRALcOaH/KriLroI5w+Bwl8vliI+PBwBERkaioKDg8mv5+fmIioqCSCSCTCZDQEAAioqKhl7tf+Hx+me4O17WDEUrPe23ZDuyFeDzgLujqLfdEiXE+KFHo8UPZ+pYl0JuYjBzARkc7l1dXZBKpZe/FggE6Ovru/yaTCa7/JpEIkFXV5ehm7qpS2GxK7vGJJ9Phk6r02Nndg1mhnnA08medTnkOqIDhiHEXYLM03QVbMk+PFAy4PcKDd2IVCqFUqm8/LVOp4NQKLzua0ql8qqwv6SwsNDQzV8lwtseW06U4bbhGqu85FepVEbbF5Yop7Ybde0qPBDpdMvfk+v7YjDMvS9mBIjwZXYL9p/Mh4+Tndm2OxB0XPSfJH15tApT7/AY0PsNDvfo6GgcPHgQixYtQm5uLsLCwi6/FhERgXfffRe9vb1Qq9UoLS296vVLwsPDDd38VdKUUjyfmY9uR2/EBrka5TPNqbCw0Gj7whJ9kpcDJ3shVs6Nhr3dzVsgub4vBsPc++IRnx58lXMAue1i3DZplNm2OxB0XACHLzSiubt8wO83+LbMvHnzIBKJkJycjHXr1uGll17Chg0bsH//fnh4eCAtLQ2pqam477778Oyzz0IsNt1Q84Xj+1d1p4EYlqdTpcFPZy/irkifWwY7YWu4swOmj/TADup5t0iZcgWc7Ad+Pm7wmTufz8drr7121fdCQ0Mv/3vFihVYsWKFoR8/KFKxEAvHeeO7vDq8ungshYgF+eFMHVQaHRJi/FmXQgYgIcYPT23JwbHSZkwf6c66HPK7DpUGP5+9iBWx/gB6B/QzVjuI6b9dWtV977l61qWQP8iUKxDqIcEEP+pttwa3j/GCzF5IU2pbGEMGAHIm3CeHuMHXxYF63i1IRZMSWRWtSIjxt8oH3bbI3k6Auyb44MeCi+hQaViXQ36XKVdghKd0UCdJnAl3Pp+Hu6N88VtxI+o7VKzLIaDedmuVGOuP3j4dvs+nnndLcGkA4GAXt+FMuAPAsmhf6PTArhzqeWdN93tv+/SRHvB2pt52azLBzxkjPKW0BJ+F2JldY9BJEqfCPcRDiugAF+ygVd2ZO1HWjJq2HiTQJGFWh8fjITHGD9lVbShtNM3gQzIwWp0eO7IViB/pAa9BDgDkVLgD/au6Fzd04UxNO+tSbFqmXAGZvRC3j/FiXQoxwN1RvuDzQJOJMXa8tBl17SqDTpI4F+53RAyHSMinB6sMdfX24ceCi7gzgnrbrZWnkz1mhnlgZ7YCWup5ZyZTXg2ZvRDzDDhJ4ly4OzvY4fYxXvg2rxa9fVrW5dikH87UoUejpVsyVi4x1h/1Hb04UtLEuhSbdHkA4ATDTpI4F+4AsDzGD23dGhwsamBdik3KlCsQ4i5BdIAL61LIENwW7gkXRzt6sMrIpQGAhi5uw8lwjx/hDg+ZGJly6poxt6rmbpwqb8HyQbZtEcsjFgqwZIIP9p6rR3s39bybW6ZcgRAPCaL8XQz6eU6Gu1DAx7IoX/x6vgHNXQMbqkuMY0e2AjzqbeeMhBh/qPt02J1fy7oUm3JlAKDhJ0mcDHeg/9ZMn06Pb3PpoDQX3e9tW9NHuMPHxYF1OcQIxvk6YbS3DJl0a8asdv4+AHBZlOHPrTgb7mFeMoz3daaZIs3oZHkLFK09WB5ND1K5gsfjITHWH3mKdhRd7GBdjk3oP0mqwbQR7kMaAMjZcAeA5dG+OFvbgcI6OijNIVOugFQsxPyx3qxLIUa0NNIHdgIettMqTWZhrAGAnA73uyJ9IRLw6aA0A2VvH34sqMOdEcPhIKLedi5xk4oxN9wLu3JqoO7TsS6H8zLlCsiMcJLE6XB3lYgwb4wXduUoqOfdxH4suIhutdbgti1i2RJj/dCiVOMAtReb1OUBgAb2tv8Rp8Md6D8oW7s12F9IB6UpZcqrEejmiNjAYaxLISYwY6QHPGVi6nk3sSsDAIfebcb5cI8f6YHhzvbIyKKD0lSqW7pxoqwFCdHU285VQgEfy2P8cPB8AxpoSm2TyZQrEOwuQXTA0E+SOB/uAj4PCTF+OFzciNq2HtblcNLO7P7BYndHU287lyXG+EGnB3bSlNomUdmsxKnyliH1tv8R58MdABJj/KHXgyYTM4FLve1TQ93gN8yRdTnEhEI8pIgNHIZtp6tpSm0T2JFdY9QBgDYR7gFujpgS4obttKq70Z0ob0ZVSzdNEmYjVsT6o6xRieyqVtalcIpWp8f209VGHQBoE+EOAElx/qhq6caJ8mbWpXDK1lPVcLIXYtH44axLIWawKGI4HEUCai82ssMXGlHXrkLKxACjfabNhPuCcd6Q2QvpoDSiVqUaPxVcxN1RvjRvu42QioW4Y/xw7MmrRbe6j3U5nLE1qwpuEhHmhhtvcRubCfdLq7r/cKYO7T00w50x7MqpgVqrQ7IRzzaI5UuM9YdSrcUPZy6yLoUTGjpV2F/YgOUxfhAJjRfJNhPuQP+tmd4+HXbn0WRiQ6XX67E1qwoT/JwRPtyJdTnEjOKChiHIzRHbqL3YKDLlCvTp9EiK8zfq59pUuI/3dcZobxkNxDCC7Ko2XKjvorN2G8Tj8ZAUF4BTFS0oaaAFtIdCr9cjI6saE4NdEeohNepn21S483g8rIj1R76inSYTG6Ktp6rgKBJg8QQf1qUQBhJi/CDk87D1VBXrUqza8bJmVDZ3I9nIZ+2AjYU70N9DKhLw6aAcgk6VBt/l12FxhA+kYiHrcggDHjIx5o/1Rma2AioNzdtkqIws03Wb2Vy4D5OIsHC8N3Zm19DTfgPtzqtFj0aL5InGP9sg1iNlYgDaujX4qYAerBqirVuNH03YbWZz4Q4A90wKRGdvH77Lq2NdilXaeqoao71liDRwbUfCDVND3RDo5oiv6SrYIJemUE6KM81zK5sM97igYRjhKcXmk5WsS7E6BTXtOFPTjuQ4f5okzMbx+TwkxwXgVHkLSho6WZdjVfR6PbaeqsYEP2eM8TFNt5lNhjuPx8M9kwKQp2hHQU0763KsSkZWNURCPpbSAtgE/VNq2wl42HKKOtAGI6e6DefrO0121g7YaLgD/QvPioV8bD5Jl5QD1a3uwze5NVg0zhsujiLW5RAL4C4V4/Yx3thBD1YHZcvJ/m6zuyJN121ms+Hu7GiHxRN8sDu3Bl299GB1IL7NrUWnqg+pkwJZl0IsSOokerA6GG3dauzOq8XSKF+TdpvZbLgD/QelUq3FNzQ/9S3p9XqkH6/EaG8Z4oJotSVyxZSQ3x+s0lXwgGw/rUBvnw5pk017kmTT4R7l74Lw4U74+mQVzU99C9lVrThX14G0KYH0IJVchc/nIWVi/4jVC/X0YPVmdDo9Np2sRFzQMJNP22HT4c7j8ZA6KQDn6jqQW93GuhyL9tXxSsjEQiyNpAep5FqJv0969dXxCtalWLRDxY2obO5G2pQgk2/LpsMdAJZG+kAiEiD9OLVF3khjZy9+OFOH5TF+kNCIVHIdblIxFkf4YGd2DTpUNOvqjWw6Xgl3qRgLxnqbfFsGh7tOp8PatWuRlJSEtLQ0VFZeHY6vv/46li1bhrS0NKSlpaGz0zIv12T2dkiI8cOe/Fo0dNLCv9eTkVUFjVaPtCn0IJXc2P1Tg9Ct1iKT1ky4ruqWbhw434DUif5Gndr3Rgzewr59+6BWq5GRkYE1a9bgzTffvOr1s2fP4rPPPkN6ejrS09Mhk8mGXKyprJwaBI1Wjy0nqVf3v/Vpddh8sgrTR7gbfdY6wi3j/ZwRFeCCr45X0HKW17HpZCX4PB5SJplnJlWDw10ulyM+Ph4AEBkZiYKCgsuv6XQ6VFZWYu3atUhOTkZmZubQKzWhUA8pZoZ5YNPJSqj7dKzLsSj7ChtQ166is3YyIPdPDUJFczcOFzeyLsWiqDRabMuqxrxwLwx3Ns4aqbdi8A3Urq4uSKVXzuQEAgH6+vogFArR3d2Ne++9Fw888AC0Wi1WrlyJcePGYfTo0Vd9RmFhoeGVG9lt/gIcutCLz3+WY1aIec9QVSqVRe2LP/p4fx08JAL4ogWFhaZfFNmS94W5WeO+CBbqMcxegI/2FsBLZ7yZDq1xX/zRLyWdaO3WYKYvz2y/h8HhLpVKoVQqL3+t0+kgFPZ/nIODA1auXAkHh/7/Q02ePBlFRUXXhHt4eLihmze6UaP02JB3CHsr1XjsDvPWVVhYaFH74pIL9Z3IrSvD8/NHYdzYEWbZpqXuCxasdV+k1QnxwYFiOHgEIMhdYpTPtNZ9AfSPEfl/vxzBSE8pkmdHDbmVWC6XD+h9Bt+WiY6OxuHDhwEAubm5CAsLu/xaRUUFUlJSoNVqodFokJ2djbFjxxq6KbPg83m4b0ogcqraqC3yd5//Vg57Oz5SabUlMgj3TAqAgMdD+gnqQAOAE2UtOFvbgVXTg806RsTgcJ83bx5EIhGSk5Oxbt06vPTSS9iwYQP279+P0NBQLFmyBCtWrEBaWhqWLFmCkSNHGrNuk1ge4weJSICNxypYl8JcY2cvduXUICHGD8MkNI8MGTgvJ3ssHD8c27Kq0Ultkfj8SBncJCKzT7Zn8G0ZPp+P11577arvhYaGXv736tWrsXr1asMrY0Bmb4fEWH9sPlmJlxaOhqeTPeuSmEk/UQmNTocHpwWzLoVYodXTg7EnrxYZWdVYHR/CuhxmShu7sK+wAU/fNtIkC3LcjM0PYvpv908NglanxwYbPntXabTYdKISt432Qgi1PxIDTPB3waRgV3xxpBware12oH1xpBwiIZ9JtxmF+38Jcpdg4bjh2HSi0mZni9yRrUCLUo3V8XTWTgz38IwQ1Lar8MMZ21zxrEWpRqZcgWVRvnCXis2+fQr363h4Rgg6VX02uYi2TqfH50fKMd7XGZOCXVmXQ6zY7FGeCPWQ4D+Hy2xyYr7NJyrR26fDqulsTpIo3K9jgr8LJoe44vMj5TY3qOng+QaUNSqxOt68T/YJ9/D5PDwUH4KztR04XtrMuhyz6u3TYuPxSswa5YGRXmxG51O438AjM0JR167Cnrxa1qWY1SeHyzDc2R6LxhtvAAqxXUt/vyXxn9/KWJdiVruya9DU1YvV09k9TKZwv4FZozwwyktmU5eUp8pbcKq8BQ/Fh8BOQIcGGTp7OwHunxqIX883ouhiB+tyzKJPq8P6X0sR4eeMaSPcmNVBf8E3wOPx8PCMEJyv78Sv521jnowPD5bATSJCCg1aIkaUNjkIUrEQHx4oYV2KWezJr0VVSzeenD2C6a1NCvebWDzBB74uDnj/QDHnz97zqttw+EIjVseHwEFk3n5cwm3OjnZYOSUQ35+pQ0mDZU79bSw6nR4fHSzFaG8Z5oZ7Ma2Fwv0mREI+HpsVipyqNvxW3MS6HJP68GAJnB3scO9kOmsnxrdqejDshQJ8dLCUdSkm9fPZiyhp6MLjs0eAz2fbkEDhfguJsX4Y7myP9/Zz9+y9sK4Dv5yrxwPTgiCzt2NdDuEgN6kY904OwLe5NahoUt76B6yQXq/HBwdKEOwuwR0W0JBA4X4LYqEAj88KhbyyFUdLuNnO9dHBEkjFQtw/NYh1KYTDHprR/6B+/a/cvPd+8HwDztV14PFZoRAwPmsHKNwHZEWcP7yd7PHe/gucO3svru/E92fqcO/kQLg40gRhxHQ8ZfZImRiAndk1qG7pZl2OUen1ery7rxi+Lg5mnyDsRijcB0AsFODx2aHIqmjFMY4NxvjXz+chFQnxyAzbndyJmM+jM/vPav9v3wXWpRjVTwUXka9oxzNzR1pMG7FlVGEFVsT6w8fZHm//VMSZs/fsqlbsPVePh2aE0LS+xCy8ne1x/9Qg7MqpwfmL3Oic6dPq8K+95zHCU4pl0X6sy7mMwn2A7O0EeHZeGPIU7fix4CLrcoZMr9fj7Z+K4CYRMZv7gtimx2aFQioW4l8/n2ddilHszK5BWaMS/+/2MIu4134JhfsgLIv2Q5iXFP/6+bzVT2P6W3ETTpS14E9zRkAiNnhaf0IGzcVRhEdmhGBfYT3klaZfl9eUVBot3t13ARP8nDF/rDfrcq5C4T4IAj4PLy4YjfImJTKyqlmXYzCdTo+3fy6C3zAHpEyivnZifg9MC4a7VIy3rPw256YTlahtV+GFBaMtbqI9CvdBmjPaExODXPHuvmIorXS+9105NSio6cBz88IgFtJoVGJ+ErEQT88diVPlLfjJSm9ztijVeH9/MeJHumPaCHfW5VyDwn2QeDweXlo0Gk1dvfjACufK6Ortw5s/FWGCvwuWRlpGyxaxTSlx/hjtLcM/fyiESqNlXc6g/e/e81CqtXjlzjGsS7kuCncDRAUMQ0KMHz4/Uoayxi7W5QzKhwdK0NjZi78tHsN8eDSxbUIBH2sXj4GitQefHrauKYHP1XZgy6kqpE0ORBij+dpvhcLdQC8uGA17oQB/33POau4Zljcp8cWRciyP9kNUwDDW5RCCqaHuWDjOG+t/LUVdew/rcgZEr9fj73vOwtnBDs/ODWNdzg1RuBvIQybGM/PCcOhCI/YVNrAu55b0ej1e23MWIiEfLy4YxbocQi57eVE4tHo9Xv++kHUpA7Invw4ny1vw3O2j4OxouXMxUbgPwcopgQjzkuJvu89a/MPVPfl1OHi+Ec/MHQlPJ3vW5RBymb+rI/40ewS+z6/DvnP1rMu5qValGn/ffRYRfs5IifNnXc5NUbgPgZ2AjzfuHo/a9h68/VMR63JuqEWpxt92n8UEfxc8MI0GLBHL88jMUIzykuGVbwvQqdKwLueG/vHdObT3aPDW8ggILWSagRux7OqsQGyQK+6fGoSNxytxqryFdTnX9dqes+hUafD28giLGkFHyCUiIR9vLh+Pix0qix25+uv5BuzMqcFjs0IRPtyJdTm3ROFuBM/PHwV/Vwe8kJmHbrVl3Z7ZX1iPb3Jr8fisERjlbZlP9QkB+rvQ7p8ahK+OV+KIhS2O06HS4C+7ChDqIcGTc0awLmdAKNyNwFEkxFvLI1DZ0o3X9pxjXc5lDR0qvJCZj9HeMjw+O5R1OYTc0gvzR2OEpxTPbctFi1LNuhwA/c0IL+88039VkTjBagb+UbgbydRQdzw6MxRbs6qxJ6+WdTnQ6fR4dlsulOo+fJgaZTUHJLFtDiIB3kuORFu3Bi/uyLeINuPtcgW+y6/Dc/PCEG1FLcQU7kb03LwwRAW44OWdZ1DVzHYxgn8fKsXRkmb8bfFYjPCk2zHEeoz1ccYLC0bhl3P12HC0gmktJQ1dePXbs5gS4oZHZ1rX1S+FuxHZCfh4PzkKPB7wcPppZu2RB4sa8L97z+POiOFIsvB2LUKu58FpwZg3xgv//KEQx0rY3H9v79bgoa9Ow1EkwP8lRVpdMwKFu5H5uzrig9RoXKjvxHPbcqHTmfeysri+E09tycFobye8nRBhcTPVETIQfD4P76yYgGB3CZ74Ohv1XeZtj+zT6vDklmwoWrvxSVoMvJ2tb2wIhbsJzAzzwMuLwvHz2Xq8Zcb+96auXqz+6jTEdgJ8el8sHEU0TzuxXjJ7O3y6MhZ9Oj1e2XcRrWZ6wKrX6/Had+fwW3ET/rl0PGKDXM2yXWOjcDeRVdODkTY5EJ8cLsNHB00/e2Rbtxr3fnYS9R0qfJIWA18XB5NvkxBTC3aX4NOVsbjY2Yf7v8wyy63O/9l7Hl8dr8QjM0Kwwopva1K4mwiPx8Pf7xqLJZE++NfP50066117twb3bchCWaMSn66MRUyg9TzRJ+RWJoe44eWZniioaccDX2ahw0QjWPV6Pd7fX4yPDpYiZWIA/rxwtEm2Yy4U7ibE5/PwP4kTsGi8N/75Q6FJVp2pbetB4ifHcK62HR/dE434kR5G/XxCLMHkAAneTYpEdmUrUj89geauXqN+vk6nx9/3nMM7v1zAsihfvL50nNU/r6JwNzE7AR8fpEQjdVIA/v1rKf60JQddRrq0zKlqxfJ/H0NdmwobH5iIeWO8jPK5hFiixRN88Ol9sShp6MJdHx7FGUW7UT63vUeDRzfJ8eWxCqyeHoz/SZxgdZ0x10PhbgYCPg//XDoOLywYhR/O1OGuD4+goMbwA1Or0+OTQ6VI/Pg4BHweMh6ZgqkWuMwXIcY2e5QnMh6eAr1ej+UfH8PGYxVD6kjLrmrFnR/8hgNFDXjlzjH4653cWcRmSOGel5eHtLS0a75/4MABLF++HElJSdi2bdtQNsEZPB4Pj88agc2rJ6NT1Ye7PjyCv+0+O+jLy6yKFiz56AjW/ViEeWO88P1T8RjjY/mTGBFiLBP8XfDdU/GYEuKGV3efRcLHx5Bd1Tqoz2js7MWLmflY/u9j0OmAjEemYNV0bs2YanCv3Keffordu3fDweHqrgyNRoN169YhMzMTDg4OSElJwZw5c+DuTmeWADAl1A37np2Jf+0twsbjFcjIqsbcEAkelLQi0t/luvf5OlUaHChqwOYTVThV0QIvJzHeS47EXRN8rP6+ICGGcJWI8OUDcdiZXYM3fijEsvXHMH2EO1bE+WNuuOd124C1Oj1yqlqxI1uBndk10Or0WD09GE/dNhIye8tddMNQBod7QEAAPvjgA7zwwgtXfb+0tBQBAQFwdnYGAMTExCArKwsLFy4cWqUc4uxoh9eXjsf9U4Ow/tdS7MmtxZ7zx+DsYIfxvs7wdBJDLBSgU6VBWaMSxQ2d0Gj18HVxwCt3jkFynD8kYuphJ7aNx+NheYwfFozzRvqJSmw8VoGntuRAyOchfLgTAtwc4exgh16NDjVt3Sis60R7jwZiIR/Lon2xOj4EoR5S1r+GyRicEPPnz4dCobjm+11dXZDJrsxlIpFI0NV1/UWkCwutY1ktU3povBjLAr2Q06jF2XoVSls6caGuDWqtHo52PAyX2WHZGGdM9HPEaA8x+DwVqsqKWZdtMiqVio6L39G+uOJW+2KmJzD9ruEoqFchp64HRY0q5FZ0o0uthVjAxzAHAab42SNy+DDE+jpCIuJD3VSNQsuaWdiojH76J5VKoVQqL3+tVCqvCvs/Cg8PN/bmrVJhYSH+NIn2BdC/L+i46Ef74oqB7otxY4FkM9TDklwuH9D7jN4tExoaisrKSrS1tUGtVuP06dOIiooy9mYIIYTchNHO3Pfs2YPu7m4kJSXhz3/+M1atWtXfrrR8Oby8qP+aEELMaUjh7ufnd7nVcfHixZe/P2fOHMyZM2dolRFCCDEYDWIihBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAOonAnhBAO4un1esOXDh+CgU44Twgh5GoxMTG3fA+zcCeEEGI6dFuGEEI4iMKdEEI4yKzhnpeXh7S0NABAZWUlUlJSkJqaildffRU6nc6cpVgEjUaDNWvWIDk5GampqSgtLWVdElOffPIJkpKSsGzZMmzfvp11Ocw1Nzdj5syZNn1caDQaPP/880hNTUVCQgL279/PuiRmdDod1q5di6SkJKSlpaGysvKm7zdbuH/66af461//it7eXgDAunXr8Mwzz+Drr7+GXq+3yf9ohw4dQl9fH7Zu3YonnngC7777LuuSmDl58iRycnKwZcsWpKen4+LFi6xLYkqj0WDt2rWwt7dnXQpTu3fvhouLC77++mt89tln+Mc//sG6JGb27dsHtVqNjIwMrFmzBm+++eZN32+2cA8ICMAHH3xw+euzZ89i4sSJAIAZM2bg2LFj5irFYgQHB0Or1UKn06GrqwtCodHWK7c6R44cQVhYGJ544gk8+uijmDVrFuuSmHrrrbeQnJwMT09P1qUwtWDBAjz99NMAAL1eD4FAwLgiduRyOeLj4wEAkZGRKCgouOn7zZYm8+fPh0KhuPy1Xq8Hj8cDAEgkEnR2dpqrFIvh6OiImpoaLFy4EK2trfj4449Zl8RMa2sramtr8fHHH0OhUOCxxx7DTz/9dPkYsSU7d+6Eq6sr4uPj8Z///Id1OUxJJBIAQFdXF5566ik888wzbAtiqKurC1Kp9PLXAoEAfX19NzwpZPZAlc+/smmlUgknJydWpTDz5ZdfYvr06fj555/x7bff4s9//vPl21a2xsXFBdOnT4dIJEJISAjEYjFaWlpYl8XEjh07cOzYMaSlpaGwsBAvvvgiGhsbWZfFTF1dHVauXIklS5Zg8eLFrMthRiqVQqlUXv5ap9Pd9GqfWbiPGTMGJ0+eBAAcPnwYsbGxrEphxsnJCTKZDADg7OyMvr4+aLVaxlWxERMTg99++w16vR719fXo6emBi4sL67KY2Lx5MzZt2oT09HSEh4fjrbfegoeHB+uymGhqasKDDz6I559/HgkJCazLYSo6OhqHDx8GAOTm5iIsLOym72d2k/fFF1/EK6+8gnfeeQchISGYP38+q1KYuf/++/Hyyy8jNTUVGo0Gzz77LBwdHVmXxcTs2bORlZWFhIQE6PV6rF271qbvr5J+H3/8MTo6OrB+/XqsX78eQH9zhi0+aJ43bx6OHj2K5ORk6PV6vPHGGzd9P41QJYQQDqJBTIQQwkEU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkEU7oQQwkH/HyX1X9I2NYgVAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "\n",
    "plt.xlim(10, 0)\n",
    "plt.ylim(1.2, -1.2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A useful related method is `plt.axis` (note here the potential confusion between *axes* with an *e*, and *axis* with an *i*), which allows more qualitative specifications of axis limits. For example, you can automatically tighten the bounds around the current content, as shown in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "plt.axis('tight');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or you can specify that you want an equal axis ratio, such that one unit in `x` is visually equivalent to one unit in `y`, as seen in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other axis options include `'on'`, `'off'`, `'square'`, `'image'`, and more. For more information on these, refer to the `plt.axis` docstring."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Labeling Plots\n",
    "\n",
    "As the last piece of this chapter, we'll briefly look at the labeling of plots: titles, axis labels, and simple legends.\n",
    "Titles and axis labels are the simplest such labels—there are methods that can be used to quickly set them (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x))\n",
    "plt.title(\"A Sine Curve\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"sin(x)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The position, size, and style of these labels can be adjusted using optional arguments to the functions, described in the docstrings."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When multiple lines are being shown within a single axes, it can be useful to create a plot legend that labels each line type.\n",
    "Again, Matplotlib has a built-in way of quickly creating such a legend; it is done via the (you guessed it) `plt.legend` method.\n",
    "Though there are several valid ways of using this, I find it easiest to specify the label of each line using the `label` keyword of the `plot` function (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x), '-g', label='sin(x)')\n",
    "plt.plot(x, np.cos(x), ':b', label='cos(x)')\n",
    "plt.axis('equal')\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the `plt.legend` function keeps track of the line style and color, and matches these with the correct label.\n",
    "More information on specifying and formatting plot legends can be found in the `plt.legend` docstring; additionally, we will cover some more advanced legend options in [Customizing Plot Legends](04.06-Customizing-Legends.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Matplotlib Gotchas\n",
    "\n",
    "While most `plt` functions translate directly to `ax` methods (`plt.plot` → `ax.plot`, `plt.legend` → `ax.legend`, etc.), this is not the case for all commands.\n",
    "In particular, functions to set limits, labels, and titles are slightly modified.\n",
    "For transitioning between MATLAB-style functions and object-oriented methods, make the following changes:\n",
    "\n",
    "- `plt.xlabel`  → `ax.set_xlabel`\n",
    "- `plt.ylabel` → `ax.set_ylabel`\n",
    "- `plt.xlim`  → `ax.set_xlim`\n",
    "- `plt.ylim` → `ax.set_ylim`\n",
    "- `plt.title` → `ax.set_title`\n",
    "\n",
    "In the object-oriented interface to plotting, rather than calling these functions individually, it is often more convenient to use the `ax.set` method to set all these properties at once (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes()\n",
    "ax.plot(x, np.sin(x))\n",
    "ax.set(xlim=(0, 10), ylim=(-2, 2),\n",
    "       xlabel='x', ylabel='sin(x)',\n",
    "       title='A Simple Plot');"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "jupytext": {
   "formats": "ipynb,md"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
